WASSCE Mathematics · Numbers & Numeration
Modular Arithmetic
Working with remainders and cyclic number patterns.
- lessons
- 7
- of study
- 1 h 34 min
- free to read
- 1
Across the topic: 15 sections · 9 worked examples · 2 diagrams
Topic content
Lessons in this topic
7 lessons · 1 h 34 min
- 1Modular arithmetic: remainders and congruence19 minFree19 minFree
- The basic idea — remainders
- The division algorithm
- How to compute a \bmod n quickly
- When a is smaller than n
- When a is negative — a special case
- Equivalence — when two numbers have the same remainder
- A visual picture — the modular clock
- Real-life appearances of modular arithmetic
- Key properties — preview
- Practice problems
- What's next
3 worked examples · 1 diagram
- 2Operations in modular arithmetic, clock and calendar problems6 min Plan6 min Plan
- Reduce first, then calculate
- Operation tables
- Solving congruences
- Clock and calendar problems
6 worked examples · 1 diagram
- 3Addition and Subtraction in Modular Arithmetic14 min Plan14 min Plan
- 4Multiplication and Powers in Modular Arithmetic15 min Plan15 min Plan
- 5Solving Modular Equations13 min Plan13 min Plan
- 6Days of the Week and Clock Problems13 min Plan13 min Plan
- 7Modular Arithmetic: The WAEC Trap14 min Plan14 min Plan
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